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Finding the Fourth Proportional to 13,674.13, 20,512.20 and 5,353.40

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Solution

The fourth proportional to 13,674.13, 20,512.20 and 5,353.40 is: 8,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.13 : 20,512.20 = 5,353.40 : x
  2. Step 2: Convert to fraction form
    13,674.13/20,512.20 = 5,353.40/x
  3. Step 3: Cross multiply
    13,674.13x = 20,512.20 × 5,353.40
  4. Step 4: Simplify right side
    13,674.13x = 109,810,011.48
  5. Step 5: Solve for x
    x = 109,810,011.48/13,674.13
  6. Step 6: Final answer
    x = 8,030.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.